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In photonic neural network a key building block is the perceptron. Here, wedescribe and demonstrate a complex-valued photonic perceptron that combinestime and space multiplexing in a fully passive silicon photonics integratedcircuit. An input time dependent bit sequence is broadcasted into a few delaylines where the relative phases are trained by particle swarm algorithms towardthe given task. Since only the phases of the propagating optical modes aretrained, signal attenuation in the perceptron due to amplitude modulation isavoided. The perceptron performs binary pattern recognition and few bit delayedXOR operations up to 16 Gbps (limited by the used electronics) with Bit ErrorRates as low as $10^{-6}$. The perceptron is fully integrated, silicon based,scalable, and can be used as a building block in large neural networks.

A photonic complex perceptron for ultrafast data processing